%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM618+1 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 12:28:41 PM UTC 2025
% Result : Theorem 0.18s 0.58s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 4 unt; 0 def)
% Number of atoms : 26 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 21 ( 9 ~; 6 |; 5 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn 1 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
? [W0] :
( aElementOf0(W0,szNzAzT0)
& xx = sdtlpdtrp0(xe,W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ? [W0] :
( aElementOf0(W0,szNzAzT0)
& xx = sdtlpdtrp0(xe,W0) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(226,plain,
( xx != sdtlpdtrp0(xe,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( xx != sdtlpdtrp0(xe,sK27(xx))
| ~ aElementOf0(sK27(xx),szNzAzT0) ),
inference(instantiation,[status(thm)],[226]) ).
fof(m__4982,plain,
! [W0] :
( aElementOf0(W0,xO)
=> ? [W1] :
( aElementOf0(W1,szNzAzT0)
& aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,W1) = W0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4982) ).
cnf(203,plain,
( ~ aElementOf0(X0,xO)
| sdtlpdtrp0(xe,sK27(X0)) = X0 ),
inference(cnf,[status(esa)],[m__4982]) ).
cnf(l6,plain,
( ~ aElementOf0(xx,xO)
| sdtlpdtrp0(xe,sK27(xx)) = xx ),
inference(instantiation,[status(thm)],[203]) ).
fof(m__5365,plain,
( aElementOf0(xx,szNzAzT0)
& aElementOf0(xx,xO) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5365) ).
cnf(225,plain,
aElementOf0(xx,xO),
inference(cnf,[status(esa)],[m__5365]) ).
cnf(l23,plain,
aElementOf0(xx,xO),
inference(instantiation,[status(thm)],[225]) ).
cnf(201,plain,
( ~ aElementOf0(X0,xO)
| aElementOf0(sK27(X0),szNzAzT0) ),
inference(cnf,[status(esa)],[m__4982]) ).
cnf(l12,plain,
( ~ aElementOf0(xx,xO)
| aElementOf0(sK27(xx),szNzAzT0) ),
inference(instantiation,[status(thm)],[201]) ).
cnf(l20,plain,
aElementOf0(xx,xO),
inference(instantiation,[status(thm)],[225]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l6,l23,l12,l20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM618+1 : TPTP v9.0.0. Released v4.0.0.
% 0.10/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 13:14:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.18/0.58 % SZS status Theorem for theBenchmark
% 0.18/0.58 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------